A Task about a Bank Account: "Henry just set up direct deposit from his employer..."

Elena Kolumba

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A Task about a Bank Account: "Henry just set up direct deposit from his employer..."

Henry just set up direct deposit from his employer to his checking account. The equation y=360x-126.13 represents the balance in Henry's account if he deposits his weekly paycheck for x weeks. Based on this equation, which of the following statements is true?
A) Henry earns $126.13 per week.
B) Henry made an initial deposit of $126.13.
C) Before setting up the direct deposit, Henry had overdrawn his account.
D) When Henry set up the direct deposit, he already had $360 in his account.
At first, I thought that the answer was the "B" one because "360x" must be Henry's salaries and "-126.13" then an initial deposit for making an account (that's why there's minus there).
It turned out that the answer "B" is incorrect. I chose the "D" one. (I recognized that "A" is nor right at the first look). The reason was that in the task they wrote "for x weeks" (not a week!). I thought it was a key, as if the person had at least 2 salaries then it was $360 (even more!).
At the end, I found out that the right answer was the "C" one. To be honest, I didn't understand why. If Henry could have a few salaries on his account then how was he able to overdraw it with just -126 dollars?
Thank You in advance!
 
Let's make sure that we understand the meaning of the given symbols, first.

In the given equation, what does symbol y represent?

What does symbol x represent?
 
The -126.13 is an overdraft.
The 360 is the net weekly deposit (x weeks).
So C) is the correct choice.
And if Henry had already had, for example, 1 deposit for a week of work before, what's then? It would be $360-$126.13 on his account. The previous amount is equal to $233.87. It is not an overdraft. I mean that if Henry had already had one or a few deposits from work before the given deposit (it is not stated in the task), then he could not overdraw his account just now. Nevertheless, before his first deposit he had overdrawn his account. But the task doesn't tell us the number of this deposit (it could be the first or the sixth one).
 
And if Henry had already had, for example, 1 deposit for a week of work before, what's then?
Then you would be working a different exercise, with a different given equation.


Nevertheless, before his first direct deposit, he had overdrawn his account.
Yes. That fact can be seen from the given equation. In this exercise, you do not need to consider deposits, in order to choose the correct answer.

In choice , "initial deposit" means "first direct deposit" because Henry was not setting up his checking account.

y = m*x + b

Remember, symbol b represents the initial value of y. That is, y=b at the very beginning, when x=0. :cool:
 
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